Online GCD Calculator is useful to find the GCD of 522, 100, 722, 197 quickly. Get the easiest ways to solve the greatest common divisor of 522, 100, 722, 197 i.e 1 in different methods as follows.
Given Input numbers are 522, 100, 722, 197
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
GCD of numbers is the greatest common divisor
So, the GCD (522, 100, 722, 197) = 1.
Given numbers are 522, 100, 722, 197
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 722 are 2 x 19 x 19
Prime factors of 197 are 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 522, 100, 722, 197
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 100) = 26100
GCD(522, 100) = ( 522 x 100 ) / 26100
= 522 / 100
= 522
Step2:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
Step3:
LCM(2, 197) = 394
GCD(2, 197) = ( 2 x 197 ) / 394
= 2 / 197
= 2
So, Greatest Common Divisor of 522, 100, 722, 197 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 100, 722, 197
The greatest common divisor of numbers 522, 100, 722, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 100, 722, 197 is 1.
1. What is the GCD of 522, 100, 722, 197?
GCD of given numbers 522, 100, 722, 197 is 1
2. How to calculate the greatest common divisor of 522, 100, 722, 197?
We can find the highest common divisor of 522, 100, 722, 197 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 522, 100, 722, 197 i.e 1.
3. How can I use the GCD of 522, 100, 722, 197Calculator?
Out the numbers 522, 100, 722, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.